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Finding the Fourth Proportional to 463.86, 695.86 and 186.24

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Solution

The fourth proportional to 463.86, 695.86 and 186.24 is: 279.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.86 : 695.86 = 186.24 : x
  2. Step 2: Convert to fraction form
    463.86/695.86 = 186.24/x
  3. Step 3: Cross multiply
    463.86x = 695.86 × 186.24
  4. Step 4: Simplify right side
    463.86x = 129,596.97
  5. Step 5: Solve for x
    x = 129,596.97/463.86
  6. Step 6: Final answer
    x = 279.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.